57882816 has 224 divisors, whose sum is σ = 187756800. Its totient is φ = 17418240.

The previous prime is 57882793. The next prime is 57882817. The reversal of 57882816 is 61828875.

It is not an unprimeable number, because it can be changed into a prime (57882817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346091 + ... + 1346133.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 2^57882816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93878400).

57882816 is an abundant number, since it is smaller than the sum of its proper divisors (129873984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57882816 is a wasteful number, since it uses less digits than its factorization.

57882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 57882816 is about 7608.0757094025. The cubic root of 57882816 is about 386.8267958781.

The spelling of 57882816 in words is "fifty-seven million, eight hundred eighty-two thousand, eight hundred sixteen".